8162219025 has 81 divisors (see below), whose sum is σ = 15478209201. Its totient is φ = 4111058880.

The previous prime is 8162218963. The next prime is 8162219069. The reversal of 8162219025 is 5209122618.

The square root of 8162219025 is 90345.

It is a perfect power (a square), and thus also a powerful number.

8162219025 is a `hidden beast` number, since 8 + 1 + 622 + 1 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3294645201 + 4867573824 = 57399^2 + 69768^2 .

It is not a de Polignac number, because 8162219025 - 2²³ = 8153830417 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25748167 + ... + 25748483.

Almost surely, 2^8162219025 is an apocalyptic number.

8162219025 is the 90345-th square number.

8162219025 is the 45173-rd centered octagonal number.

It is an amenable number.

8162219025 is a deficient number, since it is larger than the sum of its proper divisors (7315990176).

8162219025 is a wasteful number, since it uses less digits than its factorization.

8162219025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 8162219025 is about 2013.4278961227.

Multiplying 8162219025 by its sum of digits (36), we get a square (293839884900 = 542070²).

The spelling of 8162219025 in words is "eight billion, one hundred sixty-two million, two hundred nineteen thousand, twenty-five".